Centralizing mappings and derivations on semiprime rings

• Autorzy: Chaudhry M. , Thaheem A.
• Języki publikacji: EN

Abstrakty

EN

In this paper we study some properties of centralizing mappings on semi-prime rings. The main purpose is to prove the result: Let -R be a semiprime ring and f an endomorphism of R, g an epimorphism of R such that the mapping x -> [f(x),g(x)] is central. Then [f(x),g(x)] = 0 holds for all x e R. We also establish some results about (alpha,beta)-derivations.

Słowa kluczowe

EN

automorphism; derivations; centralizing map; commuting map; prime rings; semiprime ring

PL

pierścienie; pochodne; odwzorowanie; automorfizm

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 2
• Strony: 285--292
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Chaudhry M.

• Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

autor

Thaheem A.

• Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

Bibliografia

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